Actuarial Notes

CAS Exam 9 Spring 2014, Question 23

Study guide: Exam 9

A reinsurance contract is expected to make a single loss payment at the end of one year.

Given the following information:

Item Value
Loss distribution Normal
Expected loss $4,000,000
Standard deviation of loss $6,000,000
Risk-free rate 4%
Target yield 12%
Standard deviation of yield rate 15%
Normal Table z-Score at 99.9th Percentile 3.0902

Using the swap method, calculate the assets required for the reinsurer to cover a loss at the 99.9th percentile.

Part a (1.75 points)

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